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Troyanec [42]
2 years ago
14

A

Mathematics
1 answer:
Vladimir79 [104]2 years ago
6 0

Answer:

12

Step-by-step explanation:

55+48=103

So 12 people are left which are the ones who like both drinks

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Marshall and Peter went to lunch at a cafe. They ordered a spinach salad for $4.15, a tuna sandwich for $6.35, and 2 glasses of
garri49 [273]

Answer:

$1.05

Step-by-step explanation:

The amount of money they should pay is 4.15+6.35+2*1.1+1.25 = $13.95

The change is 15-13.95=$1.05

8 0
3 years ago
The sum of three positive consecutive integers is 66. what are the three integers​
vredina [299]

Answer: 21, 22, 23

Step-by-step explanation:

you divide 66 with 3, that equals 22, then you have three 22. Then you have to take 1 from one of the 22s and give it to the other one, making it 21, 22 and 23

7 0
3 years ago
Need help #1. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Rufina [12.5K]

Answer:

B

Step-by-step explanation:

We are given that <em>x</em> and <em>y</em> are functions of time <em>t</em> such that <em>x</em> and <em>y</em> is a constant. So, we can write the following equation:

x(t)+y(t)=k,\text{ where $k$ is some constant}

The rate of change of <em>x</em> and the rate of change of <em>y</em> with respect to time <em>t</em> is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to <em>t: </em>

<em />\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k]<em />

Remember that the derivative of a constant is always 0. Therefore:

\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0

And by subtracting dy/dt from both sides, we acquire:

\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}

Hence, our answer is B.

3 0
2 years ago
Read 2 more answers
Suppose the heights of women at a college are approximately Normally distributed with a mean of 65 inches and a population stand
Zigmanuir [339]

Answer:

Step-by-step explanation:

Hello!

The variable of interest, X: height of women at a college, has an approximately normal distribution with mean μ= 65 inches and standard deviation σ= 1.5 inches.

You need to look for the value of height that marks the bottom 20% of the distribution, i.e. the height at the 20th percentile of the normal curve, symbolically:

P(X≤x₀)= 0.20

To know what value of height belongs to the 20% of the distribution, you have to work using the standard normal distribution and then reverse the standardization with the population mean and standard deviation to reach the value of X. So the first step is to look for the Z-value that accumulates 20% of the distribution:

P(Z≤z₀)=0.20

z₀= -0.842

z₀= (x₀-μ)/σ

z₀*σ= (x₀-μ)

x₀= (z₀*σ)+μ

x₀= (-0.842*1.5)+65

x₀= 63.737 inches

I hope it helps!

6 0
3 years ago
Read 2 more answers
Write a numerical expression for the phrase and simplify the expression. The sum of -6 and -10 increased by 11.
BlackZzzverrR [31]

Answer:

-116

Step-by-step explanation:

5 0
3 years ago
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